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arXiv · 2011.10779

Knizhnik--Zamolodchikov functor for degenerate double affine Hecke algebras : algebraic theory

Wille Liu
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Abstract

In this article, we define an algebraic version of the Knizhnik--Zamolodchikov functor for the degenerate double affine Hecke algebras (a.k.a. trigonometric Cherednik algebras). We compare it with the KZ monodromy functor constructed by Varagnolo--Vasserot. We prove the double centraliser property for our functor and give a characterisation of its kernel. We establish these results for a family of algebras, called quiver double Hecke algebras, which includes the degenerate double affine Hecke algebras as special cases.

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BibTeXRIS

Wille Liu. 2022-05-02. Knizhnik--Zamolodchikov functor for degenerate double affine Hecke algebras : algebraic theory. https://doi.org/10.1090/ert%2F614

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